A) \[\mu >\frac{3}{4}\]
B) \[\mu <\frac{3}{4}\]
C) \[\mu >\sqrt{3}\]
D) \[\mu <\frac{\sqrt{3}}{2}\]
Correct Answer: C
Solution :
[c] Critical angle between glass and liquid face is \[\sin {{\theta }_{c}}=\frac{3/2}{\mu }=\frac{3}{2\mu }\] ...(1) Angle of incidence at face AC is \[60{}^\circ \] i.e., \[i=60{}^\circ \] For total internal reflection to take place \[i>{{\theta }_{c}}\] Or \[\sin i>\sin {{\theta }_{c}}\] Or \[\sin 60{}^\circ >\frac{3}{2\mu }\]or \[\frac{\sqrt{3}}{2}>\frac{3}{2\mu }\] Or \[\mu >\sqrt{3}\]You need to login to perform this action.
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